publication . Article . Other literature type . 1990

On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations

Diekmann, O.; Heesterbeek, J.A.P.; Metz, J.A.J.;
Open Access
  • Published: 01 Jan 1990
  • Publisher: Springer Science and Business Media LLC
  • Country: Netherlands
Abstract
The expected number of secondary cases produced by a typical infected individual during its entire period of infectiousness in a completely susceptible population is mathematically defined as the dominant eigenvalue of a positive linear operator. It is shown that in certain special cases one can easily compute or estimate this eigenvalue. Several examples involving various structuring variables like age, sexual disposition and activity are presented.
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Subjects
arXiv: Quantitative Biology::Populations and Evolution
free text keywords: Applied Mathematics, Agricultural and Biological Sciences (miscellaneous), Modelling and Simulation, Next-generation matrix, Eigenvalues and eigenvectors, Linear map, Susceptible individual, Mathematical modelling of infectious disease, Basic reproduction number, Statistics, Expected value, Biology, Computation
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  • Social Science and Humanities
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Open Access
NARCIS
Article . 1990
Provider: NARCIS
Open Access
NARCIS
Article . 1990
Provider: NARCIS

1. Andreasen, V., Christiansen, F. B.: Persistenceof an infectiousdisease in a subdividedpopulation. Math. Biosci.96, 239-253 (1989)

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